{"id":"vidhyamitra:city-day:berlin:2011-03-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2011-03-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2011-03-21","date_display":"March 21, 2011 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2011,"month":3,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2455641.770833,"kali_year":5112,"ahargana":1867176.2708,"sun":{"sidereal_longitude":336.2173,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":173.1355,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":196.9182,"elapsed_within_tithi_degrees":4.9182},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":173.1355,"elapsed_within_degrees":13.1355},"yoga":{"number":12,"name":"Dhruva","sum_longitude":149.3527},"karana":{"half_tithi_index":32,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":2011,"month":3,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2455641.770833,"ahargana":1867176.2708,"kali_year":5112,"ayanamsa_lahiri":24.0097,"grahas":{"sun":{"sidereal_longitude":336.064584,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":174.481084,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false,"latitude":-4.3439},"mars":{"sidereal_longitude":326.31278399999997,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":354.231384,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":348.459784,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":298.351584,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":170.70138399999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":248.0157,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":68.0157,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2011,"month":3,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2455641.770833,"kali_year":5112,"ahargana":1867176.2708,"sun":{"sidereal_longitude":336.2173,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":173.1355,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":196.9182,"elapsed_within_tithi_degrees":4.9182},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":173.1355,"elapsed_within_degrees":13.1355},"yoga":{"number":12,"name":"Dhruva","sum_longitude":149.3527},"karana":{"half_tithi_index":32,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.344,"elongation":163.082},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.344,"opposition_distance":16.918}},"eclipse_window_40days":[]},"city":{"slug":"berlin","name":"Berlin, Germany","lat":52.52,"lon":13.405,"tz_offset_hours":1,"country":"DE","tier":"diaspora"},"tier2":{"city":{"slug":"berlin","name":"Berlin, Germany","lat":52.52,"lon":13.405,"tz_offset_hours":1,"country":"DE","tier":"diaspora"},"sunriseLocal":"06:09","sunsetLocal":"18:20","solarNoonLocal":"12:14","dayLengthHours":12.187680047892158,"dayLengthDisplay":"12 Hours 11 Mins 16 Secs","nightLengthDisplay":"11 Hours 48 Mins 44 Secs","moonriseLocal":"20:02","moonsetLocal":"06:54","rahuKala":{"name":"Rāhu Kāla","start":"07:40","end":"09:11","startHours":7.6666667424025645,"endHours":9.190126748389083,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:43","end":"12:14","startHours":10.713586754375605,"endHours":12.237046760362123,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:46","end":"15:17","startHours":13.760506766348644,"endHours":15.283966772335162,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:59","end":"09:24","startHours":8.986998747590881,"endHours":9.393254749187287,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:39","end":"06:59","startHours":6.651026738411551,"endHours":6.976031539688676,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:39","startHours":11.830790758765717,"endHours":12.643302761958529,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:31","end":"05:20","startHours":4.518182730030423,"endHours":5.330694733223234,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:08","end":"06:09","startHours":5.127566732425032,"endHours":6.143206736416045,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:16","end":"15:05","startHours":14.26832676834415,"endHours":15.08083877153696,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:08","end":"18:32","startHours":18.130886784308203,"endHours":18.5308867843082,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:20","end":"18:50","startHours":18.330886784308202,"endHours":18.83870678630371,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:05","end":"19:50","startHours":18.080886784308202,"endHours":19.830886784308202,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:39","startHours":23.83079075876572,"endHours":24.643302761958527,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:09","end":"07:40","startHours":6.143206736416045,"endHours":7.6666667424025645,"quality":"auspicious"},{"name":"Kāla","start":"07:40","end":"09:11","startHours":7.6666667424025645,"endHours":9.190126748389083,"quality":"inauspicious"},{"name":"Śubha","start":"09:11","end":"10:43","startHours":9.190126748389083,"endHours":10.713586754375605,"quality":"auspicious"},{"name":"Roga","start":"10:43","end":"12:14","startHours":10.713586754375605,"endHours":12.237046760362123,"quality":"inauspicious"},{"name":"Udveg","start":"12:14","end":"13:46","startHours":12.237046760362123,"endHours":13.760506766348644,"quality":"inauspicious"},{"name":"Chala","start":"13:46","end":"15:17","startHours":13.760506766348644,"endHours":15.283966772335162,"quality":"neutral"},{"name":"Labha","start":"15:17","end":"16:48","startHours":15.283966772335162,"endHours":16.807426778321684,"quality":"auspicious"},{"name":"Amṛta","start":"16:48","end":"18:20","startHours":16.807426778321684,"endHours":18.330886784308202,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:20","end":"19:48","startHours":18.330886784308202,"endHours":19.807426778321684,"quality":"neutral"},{"name":"Labha","start":"19:48","end":"21:17","startHours":19.807426778321684,"endHours":21.283966772335162,"quality":"auspicious"},{"name":"Amṛta","start":"21:17","end":"22:46","startHours":21.283966772335162,"endHours":22.76050676634864,"quality":"auspicious"},{"name":"Kāla","start":"22:46","end":"00:14","startHours":22.76050676634864,"endHours":24.237046760362123,"quality":"inauspicious"},{"name":"Śubha","start":"00:14","end":"01:43","startHours":24.237046760362123,"endHours":25.713586754375605,"quality":"auspicious"},{"name":"Roga","start":"01:43","end":"03:11","startHours":25.713586754375605,"endHours":27.190126748389083,"quality":"inauspicious"},{"name":"Udveg","start":"03:11","end":"04:40","startHours":27.190126748389083,"endHours":28.666666742402562,"quality":"inauspicious"},{"name":"Chala","start":"04:40","end":"06:09","startHours":28.666666742402562,"endHours":30.143206736416044,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:09","end":"07:09","startHours":6.143206736416045,"endHours":7.143206736416045,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:09","end":"08:09","startHours":7.143206736416045,"endHours":8.143206736416044,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:09","end":"09:09","startHours":8.143206736416044,"endHours":9.143206736416044,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:09","end":"10:09","startHours":9.143206736416044,"endHours":10.143206736416044,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:09","end":"11:09","startHours":10.143206736416044,"endHours":11.143206736416044,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:09","end":"12:09","startHours":11.143206736416044,"endHours":12.143206736416044,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:09","end":"13:09","startHours":12.143206736416044,"endHours":13.143206736416044,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:09","end":"14:09","startHours":13.143206736416044,"endHours":14.143206736416044,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:09","end":"15:09","startHours":14.143206736416044,"endHours":15.143206736416044,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:09","end":"16:09","startHours":15.143206736416044,"endHours":16.143206736416044,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:09","end":"17:09","startHours":16.143206736416044,"endHours":17.143206736416044,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:09","end":"18:09","startHours":17.143206736416044,"endHours":18.143206736416044,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:09","end":"19:09","startHours":18.143206736416044,"endHours":19.143206736416044,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:09","end":"20:09","startHours":19.143206736416044,"endHours":20.143206736416044,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:09","end":"21:09","startHours":20.143206736416044,"endHours":21.143206736416044,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:09","end":"22:09","startHours":21.143206736416044,"endHours":22.143206736416044,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:09","end":"23:09","startHours":22.143206736416044,"endHours":23.143206736416044,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:09","end":"00:09","startHours":23.143206736416044,"endHours":24.143206736416044,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:09","end":"01:09","startHours":24.143206736416044,"endHours":25.143206736416044,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:09","end":"02:09","startHours":25.143206736416044,"endHours":26.143206736416044,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:09","end":"03:09","startHours":26.143206736416044,"endHours":27.143206736416044,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:09","end":"04:09","startHours":27.143206736416044,"endHours":28.143206736416044,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:09","end":"05:09","startHours":28.143206736416044,"endHours":29.143206736416044,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:09","end":"06:09","startHours":29.143206736416044,"endHours":30.143206736416044,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":0.02954515117754194,"eotMinutes":-7.842805621727393,"ayanamsa":24.0097}},"calendars":{"vikram_samvat":2068,"vikram_samvatsara":"Krodhi","saka_samvat":1933,"saka_samvatsara":"Khara","bengali_samvat":1418,"malayalam_era":1187,"nanakshahi_year":542,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Caitra","lunar_month_amanta":"Phālguna","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Kṛṣṇa Dvitīyā · Vikram 2068 Krodhi · Śaka 1933 Khara"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"berlin"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga March 21, 2011 CE · Berlin, Germany · Vidhyamitra","description":"March 21, 2011 CE for Berlin, Germany: Kṛṣṇa Dvitīyā, sūryodaya 06:09, sūryāsta 18:20.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2011-03-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2011-03-21","sa":"https://sa.vidhyamitra.com/city/berlin/2011-03-21","hi":"https://hi.vidhyamitra.com/city/berlin/2011-03-21","x-default":"https://vidhyamitra.com/city/berlin/2011-03-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T18:09:19.381Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-06-02T18:09:19.381Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T18:09:19.381Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}